TSTP Solution File: GEO192+2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO192+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:12:11 EDT 2022
% Result : Theorem 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 50 ( 13 unt; 0 def)
% Number of atoms : 129 ( 1 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 126 ( 47 ~; 48 |; 18 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 86 ( 74 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f146,plain,
$false,
inference(subsumption_resolution,[],[f144,f121]) ).
fof(f121,plain,
~ distinct_lines(sK0,sK1),
inference(subsumption_resolution,[],[f118,f59]) ).
fof(f59,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : ~ distinct_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart2) ).
fof(f118,plain,
( ~ distinct_lines(sK0,sK1)
| distinct_lines(sK1,sK1) ),
inference(resolution,[],[f93,f67]) ).
fof(f67,plain,
( ~ distinct_lines(sK2,sK1)
| ~ distinct_lines(sK0,sK1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( ( ~ distinct_lines(sK0,sK1)
| ~ distinct_lines(sK2,sK1) )
& apart_point_and_line(intersection_point(sK0,sK2),sK1)
& convergent_lines(sK0,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f49,f50]) ).
fof(f50,plain,
( ? [X0,X1,X2] :
( ( ~ distinct_lines(X0,X1)
| ~ distinct_lines(X2,X1) )
& apart_point_and_line(intersection_point(X0,X2),X1)
& convergent_lines(X0,X2) )
=> ( ( ~ distinct_lines(sK0,sK1)
| ~ distinct_lines(sK2,sK1) )
& apart_point_and_line(intersection_point(sK0,sK2),sK1)
& convergent_lines(sK0,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
? [X0,X1,X2] :
( ( ~ distinct_lines(X0,X1)
| ~ distinct_lines(X2,X1) )
& apart_point_and_line(intersection_point(X0,X2),X1)
& convergent_lines(X0,X2) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
? [X2,X0,X1] :
( ( ~ distinct_lines(X2,X0)
| ~ distinct_lines(X1,X0) )
& apart_point_and_line(intersection_point(X2,X1),X0)
& convergent_lines(X2,X1) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
? [X2,X0,X1] :
( ( ~ distinct_lines(X2,X0)
| ~ distinct_lines(X1,X0) )
& apart_point_and_line(intersection_point(X2,X1),X0)
& convergent_lines(X2,X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ! [X2,X0,X1] :
( convergent_lines(X2,X1)
=> ( apart_point_and_line(intersection_point(X2,X1),X0)
=> ( distinct_lines(X2,X0)
& distinct_lines(X1,X0) ) ) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X2,X1,X0] :
( convergent_lines(X0,X1)
=> ( apart_point_and_line(intersection_point(X0,X1),X2)
=> ( distinct_lines(X0,X2)
& distinct_lines(X1,X2) ) ) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X2,X1,X0] :
( convergent_lines(X0,X1)
=> ( apart_point_and_line(intersection_point(X0,X1),X2)
=> ( distinct_lines(X0,X2)
& distinct_lines(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f93,plain,
! [X0] :
( distinct_lines(sK2,X0)
| distinct_lines(sK1,X0) ),
inference(resolution,[],[f92,f60]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X1,X0)
| distinct_lines(X1,X2)
| distinct_lines(X0,X2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ~ distinct_lines(X1,X0)
| distinct_lines(X1,X2)
| distinct_lines(X0,X2) ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X0,X2)
| distinct_lines(X0,X1)
| distinct_lines(X2,X1) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X2,X1,X0] :
( distinct_lines(X2,X1)
| distinct_lines(X0,X1)
| ~ distinct_lines(X0,X2) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X2,X1,X0] :
( distinct_lines(X0,X2)
=> ( distinct_lines(X2,X1)
| distinct_lines(X0,X1) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X0,X2,X1] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| distinct_lines(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart5) ).
fof(f92,plain,
distinct_lines(sK1,sK2),
inference(subsumption_resolution,[],[f91,f70]) ).
fof(f70,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart1) ).
fof(f91,plain,
( distinct_lines(sK1,sK2)
| distinct_points(sF3,sF3) ),
inference(resolution,[],[f87,f75]) ).
fof(f75,plain,
! [X0] :
( apart_point_and_line(sF3,X0)
| distinct_lines(sK1,X0) ),
inference(resolution,[],[f62,f72]) ).
fof(f72,plain,
apart_point_and_line(sF3,sK1),
inference(definition_folding,[],[f66,f71]) ).
fof(f71,plain,
intersection_point(sK0,sK2) = sF3,
introduced(function_definition,[]) ).
fof(f66,plain,
apart_point_and_line(intersection_point(sK0,sK2),sK1),
inference(cnf_transformation,[],[f51]) ).
fof(f62,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2] :
( distinct_lines(X0,X1)
| apart_point_and_line(X2,X1)
| ~ apart_point_and_line(X2,X0) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X0,X2,X1] :
( distinct_lines(X0,X2)
| apart_point_and_line(X1,X2)
| ~ apart_point_and_line(X1,X0) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X2] :
( distinct_lines(X0,X2)
| apart_point_and_line(X1,X2)
| ~ apart_point_and_line(X1,X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2] :
( apart_point_and_line(X1,X0)
=> ( distinct_lines(X0,X2)
| apart_point_and_line(X1,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1,X0,X2] :
( apart_point_and_line(X0,X1)
=> ( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq2) ).
fof(f87,plain,
! [X0] :
( ~ apart_point_and_line(X0,sK2)
| distinct_points(X0,sF3) ),
inference(forward_demodulation,[],[f85,f71]) ).
fof(f85,plain,
! [X0] :
( ~ apart_point_and_line(X0,sK2)
| distinct_points(X0,intersection_point(sK0,sK2)) ),
inference(resolution,[],[f57,f65]) ).
fof(f65,plain,
convergent_lines(sK0,sK2),
inference(cnf_transformation,[],[f51]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X2,X1)
| ~ apart_point_and_line(X0,X1)
| distinct_points(X0,intersection_point(X2,X1)) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X2,X1)
| ( ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X0,X1) )
| distinct_points(X0,intersection_point(X2,X1)) ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
! [X2,X1,X0] :
( ~ convergent_lines(X0,X1)
| ( ~ apart_point_and_line(X2,X0)
& ~ apart_point_and_line(X2,X1) )
| distinct_points(X2,intersection_point(X0,X1)) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X2,X1,X0] :
( distinct_points(X2,intersection_point(X0,X1))
| ( ~ apart_point_and_line(X2,X0)
& ~ apart_point_and_line(X2,X1) )
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X2,X1,X0] :
( convergent_lines(X0,X1)
=> ( ( apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1) )
=> distinct_points(X2,intersection_point(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con2) ).
fof(f144,plain,
distinct_lines(sK0,sK1),
inference(resolution,[],[f96,f59]) ).
fof(f96,plain,
! [X0] :
( distinct_lines(sK1,X0)
| distinct_lines(sK0,X0) ),
inference(resolution,[],[f95,f60]) ).
fof(f95,plain,
distinct_lines(sK1,sK0),
inference(subsumption_resolution,[],[f94,f70]) ).
fof(f94,plain,
( distinct_points(sF3,sF3)
| distinct_lines(sK1,sK0) ),
inference(resolution,[],[f90,f75]) ).
fof(f90,plain,
! [X0] :
( ~ apart_point_and_line(X0,sK0)
| distinct_points(X0,sF3) ),
inference(forward_demodulation,[],[f88,f71]) ).
fof(f88,plain,
! [X0] :
( ~ apart_point_and_line(X0,sK0)
| distinct_points(X0,intersection_point(sK0,sK2)) ),
inference(resolution,[],[f58,f65]) ).
fof(f58,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X2,X1)
| distinct_points(X0,intersection_point(X2,X1))
| ~ apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO192+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 21:42:00 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.47 % (5232)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.47 % (5240)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.47 % (5242)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.48 % (5232)First to succeed.
% 0.19/0.48 % (5224)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.48 % (5232)Refutation found. Thanks to Tanya!
% 0.19/0.48 % SZS status Theorem for theBenchmark
% 0.19/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48 % (5232)------------------------------
% 0.19/0.48 % (5232)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (5232)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (5232)Termination reason: Refutation
% 0.19/0.48
% 0.19/0.48 % (5232)Memory used [KB]: 1023
% 0.19/0.48 % (5232)Time elapsed: 0.103 s
% 0.19/0.48 % (5232)Instructions burned: 4 (million)
% 0.19/0.48 % (5232)------------------------------
% 0.19/0.48 % (5232)------------------------------
% 0.19/0.48 % (5216)Success in time 0.141 s
%------------------------------------------------------------------------------